Answer:
1. m=2x b=1 2. m=5/8x b= -1 3. m=7/8x b= -3/4 4. m=3/4x b=4
Step-by-step explanation:
<em><u>10 subtracted from the quotient of a number and -3 is at least -1 is:</u></em>
![\left(\frac{x}{-3}\right)-10\ge \:-1\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-27\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-27]\end{bmatrix}](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7Bx%7D%7B-3%7D%5Cright%29-10%5Cge%20%5C%3A-1%5Cquad%20%3A%5Cquad%20%5Cbegin%7Bbmatrix%7D%5Cmathrm%7BSolution%3A%7D%5C%3A%26%5C%3Ax%5Cle%20%5C%3A-27%5C%3A%5C%5C%20%5C%3A%5Cmathrm%7BInterval%5C%3ANotation%3A%7D%26%5C%3A%28-%5Cinfty%20%5C%3A%2C%5C%3A-27%5D%5Cend%7Bbmatrix%7D)
<em><u>Solution:</u></em>
<em><u>Given statement is:</u></em>
10 subtracted from the quotient of a number and -3 is at least -1
Quotient means reuslt of dividing two numbers
Let the number be "x"
quotient of a number and -3 = 
Therefore,
10 subtracted from
is at least -1
at least means "less than or equal to"
<em><u>Which is translated into algebraic expression as:</u></em>

<em><u>Solve the above inequality</u></em>

When we multiply or divide by negative number. we have to flip the inequality sign

Thus the solution of inequality is found
Answer:
The equation is
−4x+7=2y−3
Which can be rewritten as
2y−3 = -4x +7
2y = -4x + 10
y = -2x + 5
The equation represents the line shown in the image below.
Any point that belongs to the line is an ordered pair that represents a solution
To find any ordered pair that satisfies the equation, we place an arbitrary value for x and find the corresponding y value with the equation.
For example
x = 0 ,
y = -2(0) + 5 = 5
(0,5) is an ordered pair
x = 1 ,
y = -2(1) + 5 = 3
(1,3) is an ordered pair
x = 2 ,
y = -2(2) + 5 = 1
(2,1) is an ordered pair
And so on